Local Tate duality

id: local-tate-duality-281-15090588
title: Local Tate duality
text: In Galois cohomology, local Tate duality is a duality for Galois modules for the absolute Galois group of a non-archimedean local field. It is named after John Tate who first proved it. It shows that the dual of such a Galois module is the Tate twist of usual linear dual. This new dual is called the (local) Tate dual. Local duality combined with Tate's local Euler characteristic formula provide a versatile set of tools for computing the Galois cohomology of local fields.
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category slug: encyclopedia
description: Duality for Galois modules for the absolute Galois group of a non-archimedean local field
original url: https://en.wikipedia.org/wiki/Local_Tate_duality
date created:
date modified: 2021-09-19T15:09:11Z
main entity: {"identifier":"Q6664254","url":"https://www.wikidata.org/entity/Q6664254"}
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